Lab Experiment # 03
Mathematical Modelling of 2nd order system using Simulink
Construct Mathematical Models of 2nd order system using MATLAB Simulink and
practice their responses at various inputs.
PERFORMANCE OBJECTIVE
Upon successful completion of this experiment, the student will be able to:
(i)
Distinguish between first and second order systems.
(ii)
Extract and solve their respective equations.
(iii)
Easily model them in MATLAB Simulink and analyze their responses for various
inputs.
EQUIPMENTS
▪
Matlab 2007 or onward version.
NOTE
▪
Make sure that the MATLAB you have installed is registered and working.
▪
Counter check the SIMULINK tool bar has been installed.
DISCUSSION
Order of the system is the order of the differential equation (Highest derivative) that is generated
through its fundamental equations that define the system.
First and second order differential equations are commonly studied in Dynamic Systems courses,
as they occur frequently in practice.
The first example is a low-pass RC Circuit that is often used as a filter. This is modeled using a
first-order differential equation. The second example is a mass-spring-dashpot system. This system
is modeled with a second-order differential equation (equation of motion). To be understand the
dynamics of both of these systems we are going to build models using Simulink as discussed below.
You should build both models first, then run them so you can compare how each system responds
to the same input.
SECOND ORDER MECHANICAL SYSTEM
The mass-spring-dashpot is a basic model used widely in mechanical engineering design to model
real-time mechanical systems. It is represented schematically as shown in Fig. 2.4 below
Fig 2.4 Second order Mechanical system
Name: Rasool Bux Rajar Roll No: 17EL73
Score: Signature of the Lab Tutor: Date: 24-08-2020
